Question

A gas occupies 70 litres at 27oC.

What volume will it occupy at 273oC, pressure remaining constant?

Answer 1

A gas occupies 70 litres at 27°C , What volume will it occupy at 273 °C , pressure remaining constant.

Solution:

We have,

=> Pv = nRT

=> V = T

=> V1 / V2 = T1 / T2

=> 70 / V2 = 27 / 273

=> V2 = 70 × 273 / 73

=> 261.78 Litre

Hence, The Required volume is 261.78 litre.

Answer 2

Given: A gas occupies 70 litres at 27°C.

To find: We have to find the volume of the gas at 273°C.

Solution:

According to ideal gas law-

PV=nRT

Where P is the pressure of the gas.

V is the volume of the gas.

n is several moles.

R is Rydberg constant and T is the temperature.

At constant pressure, V is directly proportional to T.

So, we can write-

$\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}$.

Here V1= 70

Let V2 be x.

T1 is 27+273=300K.

T2 is 273+273=546K.

The value of x will be-

$\frac{70}{x} = \frac{300}{546} \\ x = 127.4$

The value of x is 127.4.

Thus the volume of the gas is 127.4 litre.