Question

at what temperature in degree centigrade will the volume of a gas at 0 degree Celsius double itself pressure remain constant

Answer 1

Assuming an ideal gas, the state equation is

PV = nRT .

At constant pressure P and fixed number of moles n, Volume V grows proportionally to temperature T. (R is a universal constant.)

Thus, volume doubles when temperature doubles. At 0°C, the absolute temperature is T = 273.15 K. The double of that is 546.30 K = +273.15°C.

Answer 2

ANSWER

According to Charles's law, \dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}

V

2

​

V

1

​

​

=

T

2

​

T

1

​

​

V_2=2V_1V

2

​

=2V

1

​

T_1=273 KT

1

​

=273K

substituting in the above equation we get,

\dfrac12=\dfrac{273}{T_2}

2

1

​

=

T

2

​

273

​

T_2T

2

​

=546 K

In celsius scale substract 273 from 546 so T_2=273^\circ CT

2

​

=273

∘

C

Hence, option (B) is correct.