Home
Class 11
CHEMISTRY
Initial temperature of an ideal gas is 7...

Initial temperature of an ideal gas is `75^(@)C.` At what temperature, the sample of neon gas would be heated to double its pressure, if the initial volume of gas is reduced by 15%?

A

`319^(@)C`

B

`592^(@)C`

C

`128^(@)C`

D

`60^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
`T_(1) = 75^(@)C = 75 + 273 = 348 K`
Let `V_(1) = V " and " V_(2) = (85V)/(100)`
`(V_(1))/(T_(1)) = (V_(2))/(T_(2))`
`T_(2) = (V_(2)T_(1))/(V_(1)) = (85V xx 348)/(100 xx V)`
`= 295.8 K`
`P_(1) = P " " P_(2) = 2P`
`T_(1) = 295.8 K " " T_(2) = ?`
`(P_(1))/(T_(1)) = (P_(2))/(T_(2))`
`T_(2) = (P_(2)T_(1))/(P_(1)) = (2P xx 295.8)/(P)`
`= 591.6 K`
`= (591.6 - 273) .^(@)C = 318.6^(@)C`
`~~ 319^(@)`
Promotional Banner

Similar Questions

Explore conceptually related problems

At what temperature, the sample of neon gas would be heated to double of its pressure, if the initial volume of gas is/are reduced to 15% at 44.4 K

If both the temperature and the volume of an ideal gas are doubled, the pressure

At what temperature would the volume of a given mass of a gas at constant pressure be twice its volume at 0^(@)C

If the temperature of an ideal gas is increased by 25% then by what percentage would its volume increase?

Initial volume of a gas is 1 L at temperature 100 K . What is the volume of a gas at 300 K .

Pressure remaining constant, at what temperature the volume of a gas will be double of its volume at 0^@C ?

What temperature would be necessary to double the volume of a gas initially at STP if the pressure is decreased to 50%?

If the aboslute temperature of a gas having volume V cm^(3) is doubled and the pressure is reduced to half, the final volume will be

A sample of gas has a volume of V_(1) litre at temperature t_(1).^(@)C . When the temperature of the gas is changed to t_(2).^(@)C at constant pressure, then the volume of the gas was found to increase by 10%. The percentage increase in temperature is

If pressure and temperature of an ideal gas are doubled and volume is halved, the number of molecules of the gas