Question

130 cm of a gas at 20°C exerts a pressure of

750 mm Hg. Calculate its pressure if its volume
is increased to 150 cm3 at 35 °C.​

Answer 1

Answer: The pressure is 1137.5 mm Hg its pressure if its volume is increased to 150
`cm^(3)` at 35 °C

Step-by-step explanation:

Given:
`P_(1)` = 750 mm Hg,
`V_(1) = 130 cm^(3)`,
`T_(1) = 20^(o)C`

`P_(2)` = ?,
`V_(2) = 150 cm^(3)`,
`T_(2) = 35^(o)C`

Formula used to calculate the new pressure 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))\\(750 mm Hg * 130 cm^(3))/(20^(o)C) = (P_(2) * 150 cm^(3))/(35^(o)C)\\P_(2) = 1137.5 mm Hg`

Thus, we can conclude that the pressure is 1137.5 mm Hg its pressure if its volume is increased to 150
`cm^(3)` at 35 °C.