Question

A sample of nitrogen gas occupies 117 mL at 100°C. At what

temperature would it occupy 234 mL if the pressure does not
change? (express answer in K and °C)
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Page
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Answer 1

The new temperature of the gas is 746 K.

Step-by-step explanation:

Given that,

The volume of the gas, V₁ = 117 mL

Temperature, T₁ = 100°C = 373

Final volume of the gas, V₂ = 234 mL

We need to find the final temperature. The relation between temperature and volume is given by :

`(V_1)/(V_2)=(T_1)/(T_2)\\\\T_2=(T_1V_2)/(V_1)\\\\T_2=(373* 234)/(117)\\\\T_2=746\ K`

So, the new temperature of the gas is 746 K.