Home
Class 12
PHYSICS
When volume of system is increased two t...

When volume of system is increased two times and temperature is decreased half of its initial temperature, then pressure becomes ………….

A

2 times

B

4 times

C

`(1)/(4)` times

D

`(1)/(2)` times

Text Solution

Verified by Experts

The correct Answer is:
C
As, `pv = RT`
`rArr p_(1)V_(1) = RT_(1)` and `V_(2) = 2V_(1), T_(2) = (T_(1))/(2), p_(2) = ?`
`(p_(1)V_(1))/(p_(2)V_(2)) = (T_(1))/(T_(2)) rArr (p_(1))/(p_(2)).(V_(1))/(2V_(1)) = (2T_(1))/(T_(1))`
`rarr (p_(1))/(p_(2)) = 4`
`p_(2) = (p_(1))/(4)` = One-fourth of initial pressure.
Promotional Banner

Similar Questions

Explore conceptually related problems

Pressure of a gas increases due to increase of its temperature because at higher temperature

Rate of physisorption increases with decrease in temperature increase in temperature decrease in pressure decrease in surface area

The pressure of a gas is increased by 50% at constant temperature. The decrease in volume will be nearest to

When the volumn of a gas is decreased at constant temperature the pressure increases because the molecules

A graph is plotted between pressure and volume at different temperature. On the basis of the graph what changes will you observe in the volume if (i) the pressure is increased at constant temperature (ii) the temperature is decreased at constant pressure

Statement -1 : When temperature is incrteased, viscosity of the gas decreases. Statement -2 : With the increase in temperature, the gas becomes lighter.