# If 8 L of a gas at room temperature exerts a pressure of 32 kPa on its container, what pressure will the gas exert if the container's volume changes to 5 L?

Dec 24, 2016

The pressure is $= 51.2 k P a$

#### Explanation:

We apply Boyle's Law

${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$

${P}_{1} = 32 k P a$

${V}_{1} = 8 L$

${V}_{2} = 5 L$

${P}_{2} = \frac{{P}_{1} {V}_{1}}{V} _ 2 = \frac{32 \cdot 8}{5} = 51.2 k P a$
The text passage contains a physics problem related to Boyle's Law, which is a mathematical question, and it provides a step-by-step solution leading to the answer.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# If 8 L of a gas at room temperature exerts a pressure of 32 kPa on its container, what pressure will the gas exert if the container's volume changes to 5 L?

Dec 24, 2016

The pressure is $= 51.2 k P a$

#### Explanation:

We apply Boyle's Law

${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$

${P}_{1} = 32 k P a$

${V}_{1} = 8 L$

${V}_{2} = 5 L$

${P}_{2} = \frac{{P}_{1} {V}_{1}}{V} _ 2 = \frac{32 \cdot 8}{5} = 51.2 k P a$
user
The text passage contains a physics problem related to Boyle's Law, which is a mathematical question, and it provides a step-by-step solution leading to the answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER