Question

If 200 ml of a gas at 27 degrees celsius is cooled to -33 degrees Celsius at a constant pressure , the volume will be

A 250ml
B 204ml
C 196ml
D 160ml

Answer 1

Given that,

Volume of gas, V₁ = 200 mL

Initial temperature, T₁ = 27°C

Final temperature, T₂ = -33°C

To find,

New volume of the gas.

Solution,

Initial temperature, T₁ = 27°C = 300 K

Final temperature, T₂ = -33°C = 240 K

Let V₂ is the new volume.

The relation between volume and temperature is given by :

`(V_1)/(T_1)=(V_2)/(T_2)\\\\V_2=(V_1T_2)/(T_1)\\\\=(200* 240)/(300)\\\\=160\ mL`

Hence, the volume will be 160 mL.