Question

If the volume of the given mass of a gas is increased four times, the temperature is raised from 27°C to 127°C. The elasticity will become

• A. 4 times
• B. 1/4 times
• C. 3 times
• D. 1/3 times

Answer 1

Answer: (D)

1/3 times

Answer 2

From the ideal gas equation$\frac { P _ { 1 } V _ { 1 } } { T _ { 1 } } = \frac { P _ { 2 } V _ { 2 } } { T _ { 2 } }$

$\frac { E _ { 2 } } { E _ { 1 } } = \frac { P _ { 2 } } { P _ { 1 } } = \frac { V _ { 1 } } { V _ { 2 } } \times \frac { T _ { 2 } } { T _ { 1 } } = \left( \frac { 1 } { 4 } \right) \times \left( \frac { 400 } { 300 } \right) = \frac { 1 } { 3 }$⇒$E _ { 2 } = \frac { E _ { 1 } } { 3 }$

i.e. elasticity will become $\frac { 1 } { 3 }$ times.