Question

4

If a gas takes up 250 ml at 800. torrand 50.°C, how much space will it take up at 400 torr and 25°?
A 125 ml
B 500 ml
0.46 L
D 0.542 L

Answer 1

Answer: The space occupied by the gas at 400 torr and
`25^(o)C` is 250 mL.

Step-by-step explanation:

Given:
`V_(1)` = 250 mL,
`P_(1)` = 800 torr,
`T_(1) = 50^(o)C`

`V_(2) = ?`,
`P_(2)` = 400 torr,
`T_(2) = 25^(o)C`

Formula used is as follows.

`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))`

Substitute the values into above formula as follows.

`(P_(1)V_(1))/(T_(1)) = (P_(2)V_(2))/(T_(2))\\(800 torr * 250 mL)/(50^(o)C) = (400 torr * V_(2))/(25^(o)C)\\V_(2) = 250 mL`

Thus, we can conclude that space occupied by the gas at 400 torr and
`25^(o)C` is 250 mL.