Question

1. A sample of gas has an initial volume of 25 L and an initial pressure of 123.5 kPa. If the pressure changes to

179.9 kPa, find the new volume, assuming that the temperature remains constant.

Answer 1

`\large \boxed{\text{17.mL}}`

Step-by-step explanation:

The temperature and amount of gas are constant, so we can use Boyle’s Law.

`p_(1)V_(1) = p_(2)V_(2)`

Data:

`\begin{array}{rcrrcl}p_(1)& =& \text{123.5 kPa}\qquad & V_(1) &= & \text{25 L} \\p_(2)& =& \text{179.9 kPa}\qquad & V_(2) &= & ?\\\end{array}`

Calculations:

`\begin{array}{rcl}123.5 * 25 & =& 179.9V_(2)\\3088 & = & 179.9V_(2)\\V_(2) & = &(3088)/(179.9)\\\\& = &\textbf{17 L}\\\end{array}\\\text{The new volume of the gas is } \large \boxed{\textbf{17 L}}`