B S Bisht, R D Madan and, Nelson A Petrie Solutions for Chapter: Study of Gas Laws, Exercise 1: Questions

A gas is allowed to expand at a constant temperature from an initial volume of $300 \mathrm{ml}$ to a final volume of $1800 \mathrm{ml}$. At the end of the expansion the pressure of the gas was found to be $1 \mathrm{atm}$. What was the initial pressure of the gas?

At $0^{\mathrm{o}}\mathrm{C}$ and $760 \mathrm{mm} \mathrm{Hg}$ pressure a gas occupies a volume of $100 {\mathrm{cm}}^3$. The Kelvin temperature (absolute temperature) of the gas increased by one-fifth while the pressure is increased one and a half times. Calculate the final volume of the gas.

$50 {\mathrm{cm}}^3$ of hydrogen collected over water at ${17}^{\mathrm{o}}\mathrm{C}$ and $750 \mathrm{mm} \mathrm{Hg}$ pressure. Calculate the volume of dry gas at STP. The water vapour pressure at ${17}^{\mathrm{o}}\mathrm{C}$ is $14 \mathrm{mm} \mathrm{Hg}$.

A given amount of a gas $\mathrm{A}$ is confined in a chamber of constant volume. When the chamber is immersed in a bath of melting ice the pressure of gas is  $100 \mathrm{cm} \mathrm{Hg}$.

What is the temperature when the pressure is $10 \mathrm{cm} \mathrm{Hg}$?

A given amount of a gas $\mathrm{A}$ is confined in a chamber of constant volume. When the chamber is immersed in a bath of melting ice the pressure of gas is  $100 \mathrm{cm} \mathrm{Hg}$.

What will be the pressure when the chamber is brought to ${100}^{\mathrm{o}}\mathrm{C}$?

The pressure on one mole of a gas at STP is doubled and the temperature is raised to $546 \mathrm{K}$. What is the final volume of the gas? (one mole of a gas occupies a volume of $22.4$ litres at STP). Temperature in Kelvin is $273.15$.

$22.4$ litres of gas weighs $70 \mathrm{g}$ at STP. Calculate the weight of the gas if it occupies volume of $20$ litre at ${27}^{\mathrm{o}}\mathrm{C}$ and $700 \mathrm{mm} \mathrm{Hg}$ of pressure. ($\mathrm{R}=62.363 \mathrm{mm} \mathrm{Hg} \mathrm{L} {\mathrm{mol}}^{-1} {\mathrm{K}}^{-1}$)

Is it possible to change the temperature and pressure of a fixed mass of a gas without changing its volume? Explain your answer.