Question

Question #a9607

Answer 1

`4.0 xx 10^2` `"K"`

Explanation:

We can use the ideal gas equation to solve this problem:

`PV = nRT`

where

• `P` is the pressure exerted by the gas, in `"atm"`

• `V` is the volume occupied by the gas, in `"L"`

• `n` is the number of moles of gas present

• `R` is the universal gas constant, equal to `0.082057("L"•"atm")/("mol"•"K")`

• `T` is the absolute temperature of the gas, in `"K"`

Since all our units are appropriate, let's plug things in and solve for `T`:

`T = (PV)/(nR)`

`= ((1.5cancel("atm"))(12.9cancel("L")))/((0.59cancel("mol"))(0.082057(cancel("L")•cancel("atm"))/(cancel("mol")•"K"))) = color(red)(4.0xx10^2` `color(red)("K"`

rounded to two significant figures.