Inverse and Direct Variation Word Problems - Examples

The Ideal Gas Equation states that pressure, $p$, and volume, $v$, vary jointly with the number of moles of gas, $n$, the temperature, $t$, and the gas constant $r$. Given the following values for the four variables, find the value of the gas constant.

• $p=145\,\text{atm}$
• $v=30\,\text{L}$
• $n=205\,\text{mol}$
• $t=258.6\,\text{K}$