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At what temperature will the volume of a gas be a, halved b, doubled c, tripled at constant pressure if the original temperature is 17 degree celsius​

Respuesta :

Recall Charles law

  • volume of a gas is directly proportional to temperature

So

#a

Volume is halved means Temperature is halved

  • T=17/2
  • T=8.5°C

#b

Volume is doubled means temperature is doubled

  • T=2(17)
  • T=34°C

#c

Volume is tripled means temperature is trippled

  • T=3(17)
  • T=51°C

Answer:

  1. 8.5 °C
  2. 34 °C
  3. 51 °C

Explanation:

The relation between temperature and volume at constant pressure is given by Charles Law.

Scenario 1 : Volume is halved

⇒ Let initial volume be V

⇒ [tex]\frac{V}{17} = \frac{0.5V}{T}[/tex]

⇒ T = 17 × 0.5

⇒ T = 8.5 °C

Scenario 2 : Volume is doubled

⇒ [tex]\frac{V}{17} = \frac{2V}{T}[/tex]

⇒ T = 17 × 2

⇒ T = 34 °C

Scenario 3 : Volume is tripled

⇒ [tex]\frac{V}{17} = \frac{3V}{T}[/tex]

⇒ T = 17 × 3

⇒ T = 51 °C