Question

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​

Answer 1

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 2

1. 8.5 °C
2. 34 °C
3. 51 °C

Step-by-step 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

⇒
`(V)/(17) = (0.5V)/(T)`

⇒ T = 17 × 0.5

⇒ T = 8.5 °C

Scenario 2 : Volume is doubled

⇒
`(V)/(17) = (2V)/(T)`

⇒ T = 17 × 2

⇒ T = 34 °C

Scenario 3 : Volume is tripled

⇒
`(V)/(17) = (3V)/(T)`

⇒ T = 17 × 3

⇒ T = 51 °C