# At 35°C a sample of a fixed amount of ideal gas occupies 150. mL at a pressure of 3.50 atm. What would be its volume at the same pressure and 105°C?

Mar 28, 2015

The volume at 105 °C will be 184 mL.

This is a problem involving Charles' Law.

${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$

${V}_{1} = \text{150. mL}$; ${T}_{1} = \text{(35 + 273.15) K" = "308.15 K}$
${V}_{2} = \text{?}$; ${T}_{2} = \text{(105 + 273.15) K" = "378.15 K}$
${V}_{1} / {T}_{1} = {V}_{2} / {T}_{2}$
V_2 = V_1 × T_2/T_1 = "150. mL" × (378.15 cancel("K"))/(308.15 cancel("K")) = "184 mL"