Ncert Exercises & Solutions

The volume of a given mass of a gas at 27°C, 1 atm is 100cc. What will
be its volume at 327°C ?

Hint: Use the ideal gas equation.

Step 1: Find the relation between the volume and the temperature.

We have to convert the given temperatures in Kelvin.
If the pressure of a given mass of the gas is kept constant, then,

V \propto T

\Rightarrow \frac{V}{T} = c o n s \tan t [V = V o l u m e o f g a s]

[T = T e m p e r a t u r e o f g a s]

Step 2 : Find the final volume of the gas .

\Rightarrow \frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}

\Rightarrow V_{2} = V_{1} (\frac{T_{2}}{T_{1}})

T_{1} = 273 + 27 = 300 K

T_{2} = 273 + 327 = 600 K

But

V_{1} = 100 c c

V_{2} = V_{1} (\frac{600}{300})

V_{2} = 2 V_{1}

∴ V_{2} = 2 \times 100 = 200 c c