Question

A sample of hydrogen exerts a pressure of 1.50 atmospheres at a temperature of 160 K. What pressure does the gas exert at 640 K?

Answer 1

The pressure will be `6` atmospheres. see explanation.

Explanation:

The volume is not given, so I assume it remains unchanged.

To calculate the new pressure you use the following equality:

`(pxxV)/T=const`

So here we have:

`(p_1xxV)/T_1=(p_2xxV)/T_2`

We can divide both sides of the equation by `V`

`p_1/T_1=p_2/T_2`

From this proportion we calculate that:

`p_2=(p_1xxT_2)/T_1`

If we substitute the given values we get:

`p_2=(1.5xx640)/160`

`p_2==960/160=96/16=12/2=6`

Answer: The new pressure is `6` atmospheres