text: # 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
  
  ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$
  
  ${P}_{1} = 32 k P a$
  
  ${V}_{1} = 8 L$
  
  ${V}_{2} = 5 L$
  
  ${P}_{2} = \frac{{P}_{1} {V}_{1}}{V} _ 2 = \frac{32 \cdot 8}{5} = 51.2 k P a$
explanation: The document contains a math question related to the application of Boyle's Law in physics, and it also provides a detailed answer to the question.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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
  
  ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$
  
  ${P}_{1} = 32 k P a$
  
  ${V}_{1} = 8 L$
  
  ${V}_{2} = 5 L$
  
  ${P}_{2} = \frac{{P}_{1} {V}_{1}}{V} _ 2 = \frac{32 \cdot 8}{5} = 51.2 k P a$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question related to the application of Boyle's Law in physics, and it also provides a detailed answer to the question.
  
  Label: question-and-answer