Question

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?

Answer 1

The volume at 105 °C will be 184 mL.

This is a problem involving Charles' Law.

`V_1/T_1 = V_2/T_2`

In your problem,

`V_1 = "150. mL"`; `T_1 = "(35 + 273.15) K" = "308.15 K"`
`V_2 = "?"`; `T_2 = "(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"`