A student performed an experiment to measure the pressure and the volume of a gas at constant temperature and noted the following: Pressure mm of Hg Volume cm 3 100 80 125 x 200 40 y 32 Calculate the value of x and y . Which law was used in the calculations? Draw a graph to show volume plotted against pressure.

The value of x and y can be calculated by using Boyle's law. It states that volume of a given mass of a dry gas is inversely proportional to its pressure at constant temperature. According to Boyle's law, P 1 V 1 = P 2 V 2 Therefore, we can consider P 1 = 100 cm of Hg , V 1 = 80 cm 3 , P 2 = 125 cm of Hg , V 2 = x On substituting the values, we get: 100 × 80 = 125 × x x = 100 × 80 125 x = 8000 125 = 64 cm 3 ∴ The volume x = 64 cm 3 . Similarly, according to Boyle's law, we can consider P 3 V 3 = P 4 V 4 . Therefore, P 3 = 200 cm of Hg , V 3 = 40 cm 3 , P 4 = y , V 4 = 32 cm 3 On substituting the values, we get: 200 × 40 = y × 32 y = 200 × 40 32 y = 8000 32 = 250 mm of Hg ∴ The volume y = 250 mm of Hg . The graph of volume plotted against pressure for the following value is as follows: Pressure mm of Hg Volume cm 3 100 80 125 64 200 40 250 32 The graph is an isothermic.

A student performed an experiment to measure pressure and volume of a gas at constant temperature and noted the following: Pressure mm of Hg Volume cm 3 100 80 125 64 200 40 250 32 Draw graph to show PV plotted against pressure.

According to Boyle's law, V ∝ 1 P or V = k P , at constant temperature. PV = k , at constant temperature. Therefore, PV value for given data is as follows: Pressure, P mm of Hg Volume, V cm 3 PV mm of Hg cm 3 100 80 8000 125 64 8000 200 40 8000 250 32 8000

E M B I B E

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law

S P Singh Solutions for Chapter: Study of Gas Laws, Exercise 1: Numericals based on Boyle's law

Author:S P Singh

S P Singh Chemistry Solutions for Exercise - S P Singh Solutions for Chapter: Study of Gas Laws, Exercise 1: Numericals based on Boyle's law

Attempt the practice questions on Chapter 7: Study of Gas Laws, Exercise 1: Numericals based on Boyle's law with hints and solutions to strengthen your understanding. Concise Chemistry Class 9 solutions are prepared by Experienced Embibe Experts.

Questions from S P Singh Solutions for Chapter: Study of Gas Laws, Exercise 1: Numericals based on Boyle's law with Hints & Solutions

MEDIUM

9th ICSE

IMPORTANT

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law>1

Volume of certain amount of a gas at $25 ° C$ and $100 cm Hg$ pressure is $80 mL$ . The gas is expanded to $160 mL$ keeping the temperature constant. Calculate the pressure of the expanded gas.

MEDIUM

9th ICSE

IMPORTANT

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law>2

At a particular temperature, a certain quantity of gas occupies a volume of $74 {cm}^{3}$ at a pressure of $760 mm$ . If the pressure is decreased to $740 mm$ , what will be the volume of the gas at the same temperature?

HARD

9th ICSE

IMPORTANT

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law>Q (i)

A student performed an experiment to measure the pressure and the volume of a gas at constant temperature and noted the following:

Pressure $(mm of Hg)$	Volume $({cm}^{3})$
$100$	$80$
$125$	$x$
$200$	$40$
$y$	$32$

Calculate the value of $x$ and $y$ . Which law was used in the calculations? Draw a graph to show volume plotted against pressure.

MEDIUM

9th ICSE

IMPORTANT

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law>Q (ii)

A student performed an experiment to measure pressure and volume of a gas at constant temperature and noted the following:

Pressure $(mm of Hg)$	Volume $({cm}^{3})$
$100$	$80$
$125$	$64$
$200$	$40$
$250$	$32$

Draw graph to show $PV$ plotted against pressure.

HARD

9th ICSE

IMPORTANT

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law>4

At constant temperature, volume of a gas was found to be $400 {cm}^{3}$ at a pressure of $760 mm Hg$ . If the pressure of the gas is increased by $25 %$ , find the new volume.

MEDIUM

9th ICSE

IMPORTANT

Concise Chemistry Class 9>Chapter 7 - Study of Gas Laws>Numericals based on Boyle's law>5

A vessel of capacity $600 {cm}^{3}$ contains hydrogen gas at a pressure of $330 cm Hg$ . What will be the pressure of hydrogen gas, when the vessel is connected to another vessel of $300 {cm}^{3}$ capacity?