Question

To raise the volume of a gas by four times, the following
methods may be adopted. Which of the methods is wrong?
​

Answer 1

Answer:

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Answer 2

To raise the volume of a gas by four times,  the method that is wrong is T is doubled and P is also doubled

Explanation:

Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.

The combined gas equation is,

$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$

where,

$P_1$ = initial pressure of gas

$P_2$ = final pressure of gas

$V_1$ = initial volume of gas

$V_2$ = final volume of gas

$T_1$ = initial temperature of gas

$T_2$ = final temperature of gas

a) T is doubled and P is also doubled

$\frac{p\times v}{t}=\frac{2p\times V_2}{2t}$

$V_2=v$

b ) Keeping P constant, T is rised four times

$\frac{p\times v}{t}=\frac{p\times V_2}{4t}$

$V_2=4v$

c) Temperature is doubled and pressure is halved

$\frac{p\times v}{t}=\frac{\frac{p}{2}\times V_2}{2t}$

$V_2=4v$

d) Keeping temperature constant, pressure is reduced to 1/4 of its initial value

$\frac{p\times v}{t}=\frac{\frac{p}{4}\times V_2}{t}$

$V_2=4v$

Thus to raise the volume of a gas by four times,  the method that is wrong is T is doubled and P is also doubled

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