Question

Consider a gas at 0 degree celcius. At what temperature will the volume be doubled if the pressure is kept constant?

Answer 1

Given :
Temperature , T_1​ = 0^o C or 273 K

​Solution :
Condition 1 : T_​1 = 273 K ; volume = V₁ ; pressure = P
ideal gas equeation for this equation
PV₁ = nRT₁
PV₁ = nR$\times$273 .............. 1)
Condition 2 : T₂ = ? ; volume = 2V₁ ; pressure = P (constant)
Ideal gas equation for this equation
P$\times$2V₁ = nRT₂ ................2)
Divide the equation 1 with 2
$\frac{P\times V_1}{P\times 2V_1}=\frac{nR\times 273}{nR\times T_2}$
$\frac{1}{2}=\frac{273}{T_2}$
T₂ = 273 $\times$2 = 546 K
At 546 K the volume will be doubled .