**NCERT Solutions Class 11 Chemistry Chapter 5 States of Matter**– Here are all the NCERT solutions for Class 11 Chemistry Chapter 5. This solution contains questions, answers, images, explanations of the complete chapter 1 titled States of Matter taught in Class 11. If you are a student of Class 11 who is using NCERT Textbook to study Chemistry, then you must come across chapter 5 States of Matter After you have studied the lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 11 Chemistry Chapter 5 States of Matter in one place.

## NCERT Solutions Class 11 Chemistry Chapter 5 States of Matter

Here on **AglaSem Schools**, you can access to **NCERT Book Solutions** in free pdf for Chemistry for Class 11 so that you can refer them as and when required. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions.

For a better understanding of this chapter, you should also see summary of Chapter 5 States of Matter , Chemistry, Class 11.

Class | 11 |

Subject | Chemistry |

Book | Chemistry Part I |

Chapter Number | 5 |

Chapter Name |
States of Matter |

### NCERT Solutions Class 11 Chemistry chapter 5 States of Matter

Class 11, Chemistry chapter 5, States of Matter solutions are given below in PDF format. You can view them online or download PDF file for future use.

### States of Matter Download

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### Question & Answer

Q.1:What will be the minimum pressure required to compress 500 \(\mathrm{dm}^{3}\) of air at 1 bar to 200 \(\mathrm{dm}^{3}\) at 30°C?

Ans :Given, Initial pressure, \(P_{1}\) = 1 bar Initial volume, \(V_{1}\) = 500 \(\mathrm{dm}^{3}\) Final volume, \(V_{2}\) = 200 \(\mathrm{dm}^{3}\) Since the temperature remains constant, the final pressure \((P_{2})\) can be calculated using Boyle's law. According to Boyle's law, \(\begin{aligned} p_{1} V_{1} &=p_{2} V_{2} \\ \Rightarrow p_{2} &=\frac{p_{1} V_{1}}{V_{2}} \\ &=\frac{1 \times 500}{200} \mathrm{bar} \\ &=2.5 \mathrm{bar} \end{aligned}\) Therefore, the minimum pressure required is 2.5 bar.

Q.2:A vessel of 120 mL capacity contains a certain amount of gas at 35 °C and 1.2 bar pressure. The gas is transferred to another vessel of volume 180 mL at 35 °C. What would be its pressure?

Ans :Given, Initial pressure, \(P_{1}\) = 1.2 bar Initial volume, \(V_{1}\) = 120 mL Final volume, \(V_{2}\) = 180 mL Since the temperature remains constant, the final pressure \((p_{2})\) can be calculated using Boyle's law According to Boyle's law, \(\begin{aligned} p_{1} V_{1} &=p_{2} V_{2} \\ p_{2} &=\frac{p_{1} V_{1}}{V_{2}} \\ &=\frac{1.2 \times 120}{180} \text { bar } \\ &=0.80 \\ \text { Therefore, the pressure would be } 0.8 \text { bar. } \end{aligned}\)

Q.3:Using the equation of state pV=nRT; show that at a given temperature density of a gas is proportional to gas pressure p.

Ans :The equation of state is given by, \(\rho V=n R T \ldots \ldots \ldots\) Where, P \(\rightarrow\) Pressure of gas V \(\rightarrow\) Volume of gas n \(\rightarrow\) Number of moles of gas R \(\rightarrow\) Gas constant T \(\rightarrow\) Temperature of gas From equation (i) we have, \(\begin{array}{l}{\frac{n}{V}=\frac{p}{\mathrm{R} T}} \\ {\text { Replacing } n \text { with } \frac{m}{M}, \text { we have }} \\ {\frac{m}{M V}=\frac{p}{\mathrm{R} T} \ldots \ldots \ldots(\text { ii })} \\ {\text { Where, }} \\ {m \rightarrow \text { Mass of gas }} \\ {M \rightarrow \text { Molar mass of gas }}\end{array}\) \(\begin{array}{l}{\frac{m}{V}=d} \\ {\text { Thus, from equation (ii), we have }} \\ {\frac{d}{M}=\frac{p}{\mathrm{R} T}} \\ {\Rightarrow d=\left(\frac{M}{\mathrm{R} T}\right) P}\end{array}\) \(\begin{array}{l}{\text { Molar mass }(M) \text { of a gas is always constant and therefore, at constant temperature }} \\ {(T), \frac{M}{R T}=\text { constant. }} \\ {d=(\text { constant }) p} \\ {\Rightarrow d \propto p} \\ {\text { Hence, at a given temperature, the density (d) of gas is proportional to its pressure (p) }}\end{array}\)

Q.4:At 0°C, the density of a certain oxide of a gas at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide?

Ans :\(\begin{array}{l}{\text { Density (d) of the substance at temperature (T) can be given by the expression, }} \\ {\quad d=\frac{M p}{R T}} \\ {\text { Now, density of oxide }\left(d_{1}\right) \text { is given by, }}\end{array}\) \(\begin{array}{l}{d_{1}=\frac{M_{1} p_{1}}{R T}} \\ {\text { Where, } M_{2} \text { and } p_{1} \text { are the mass and pressure of the oxide respectively. }} \\ {\text { Density of dinitrogen gas }\left(d_{2}\right) \text { ls given by, }} \\ {d_{2}=\frac{M_{2} p_{2}}{R T}}\end{array}\) \(\begin{array}{l}{\text { Where, } M_{2} \text { and } p_{2} \text { are the mass and pressure of the oxide respectively. }} \\ {\text { According to the given question, }} \\ {d_{1}=d_{2}} \\ {\therefore M_{1} p_{1}=M_{2} p_{2}} \\ {\text { Given, }} \\ {p_{1}=2 b a r} \\ {p_{2}=5 \text { bar }}\end{array}\) \(\begin{aligned} \text { Molecular } & \text { mass of nitrogen, } M_{2}=28 \mathrm{g} / \mathrm{mol} \\ \mathrm{Now}, M_{1} &=\frac{M_{2} p_{2}}{p_{1}} \\ &=\frac{28 \times 5}{2} \\ &=70 \mathrm{g} / \mathrm{mol} \\ \text { Hence, the molecular mass of the oxlde is } 70 \mathrm{g} / \mathrm{mol} \end{aligned}\)

Q.5:Pressure of 1 g of an ideal gas A at 27 °C is found to be 2 bar. When 2 g of another ideal gas B is introduced in the same flask at same temperature the pressure becomes 3 bar. Find a relationship between their molecular masses.

Ans :\(\begin{array}{l}{\text { For ideal gas } A, \text { the ideal gas equation is given by, }} \\ {p_{\mathrm{A}} V=n_{\mathrm{A}} \mathrm{RT} \ldots \ldots \text { (i) }}\end{array}\) Where, \(p_{\mathrm{A}} \text { and } \mathrm{n}_{\mathrm{B}}\) represent the pressure and number of moles of gas A. For ideal gas B, the ideal gas equation is given by, \(p_{B} V=n_{B} \mathrm{RT} \ldots \ldots .\) Where, p and n, represent the pressure and number of moles of gas B. [ V and T are constants for gases A and B ] From equation (i), we have \(p_{A} V=\frac{m_{A}}{\mathbf{M}_{A}} \mathrm{R} T \Rightarrow \frac{p_{A} \mathrm{M}_{A}}{m_{A}}=\frac{\mathrm{RT}}{V} \ldots \ldots \ldots\) From equation (ii), we have \(p_{\mathrm{B}} V=\frac{m_{\mathrm{B}}}{\mathrm{M}_{\mathrm{B}}} \mathrm{R} T \Rightarrow \frac{p_{\mathrm{B}} \mathrm{M}_{\mathrm{B}}}{m_{\mathrm{B}}}=\frac{\mathrm{R} T}{V} \ldots \ldots \ldots\) Where, \(\mathrm{M}_{\mathrm{A}} \text { and } \mathrm{M}_{\mathrm{B}}\) are the molecular masses of gases A and B respectively. Now, from equations (iii) and (iv) we have \(\frac{p_{A} \mathbf{M}_{A}}{m_{A}}=\frac{p_{g} \mathbf{M}_{B}}{m_{B}} \ldots \ldots \ldots(v)\) Given, \(\begin{array}{l}{m_{A}=1 \mathrm{g}} \\ {p_{A}=2 \text { bar }} \\ {m_{B}=2 \mathrm{g}} \\ {p_{B}=(3-2)=1 \mathrm{bar}}\end{array}\) \(\begin{array}{l}{\text { (Since total pressure is } 3 \text { bar) }} \\ {\text { Substituting these values in equation (v), we have }} \\ {\frac{2 \times \mathrm{M}_{A}}{1}=\frac{1 \times \mathrm{M}_{B}}{2}} \\ {\Rightarrow4\mathrm{M}_{A}=\mathrm{M}_{B}}\end{array}\) \(\begin{array}{l}{\text { Thus, a relationship between the molecular masses of } A \text { and } B \text { is given by }} \\ {4 M_{A}=M_{B}}\end{array}\)

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