# Question #de564

Jan 30, 2018

$51.875 a t m$

#### Explanation:

The,given relationship between pressure($P$),volume($V$) and temperature($T$) of the gas is given as

$P \propto \frac{T}{V}$

So,we can write, $P = k \left(\frac{T}{V}\right)$ (where, $k$ is a constant)

From the initial values of pressure,volume and temperature, we get, $k = 8.3$ $a t m l i t e r {K}^{-} 1$

So, Final pressure will be $P ' = k \left(\frac{T '}{V '}\right)$

Given, $T ' = 500 K , V ' = 80 L$

So, $P ' = 8.3 \cdot \left(\frac{500}{80}\right) a t m$ i.e $51.875 a t m$