Question

A litre of an ideal gas at 27°C is heated at constant pressure to 297°C. The approximate final volume of the gas is?

पर्याय

• 1.2 litres

• 1.9 litres

• 19 litres

• 0.9 litres

Answer 1

1.9 litres

Explanation - 

Given,

Initial volume of an ideal gas, V₁ = I litre

lnital temerature of an ideal gas, T₁ = 27° C 

= =27 +273 =300k

Final temerature ofan ideal gas,T₂ = 297° C

= 297 +273 =570 k

Using ideal gas equation= 570 k

PV = nRT

At constant pressure, V ∝ T ( ∵ n and R are constant)

∴ `"V"_1/"V"_2 = "T"_1/"T"_2 => "V"_2 = ("V"_1"T"_2)/"T"`

`=> "V"_2 = (1 xx 570)/300 = 1.9` litres