Question

The temperature in DEGREE CENTIGRADE of certain gas is increased by 10%. calculate % increase in volume at constant n& P?

Answer 1

`10%`

Explanation:

`"PV = nRT"`

At constant `"n & P"`

`"V " prop " T"`

`"V"_2/"V"_1 = "T"_2/"T"_1`

Subtract `1` from both the sides

`"V"_2/"V"_1 -1 = "T"_2/"T"_1 - 1`

`("V"_2 - "V"_1)/"V"_1 = ("T"_2 - "T"_1)/"T"_1`

`(Delta"V")/"V"_1 = (Delta"T")/"T"_1`

`Δ"V" = "V"_1 × (Delta"T")/"T"_1 = cancel(100) × (10%)/cancel"100" = 10%`

∴ Volume is also increased by `10%`

[Note: Change in Celsius temperature is equal to change in Kelvin temperature]

If the temperature of a substance increases from 20 to 35 Celsius, what is the total temperature change on the Kelvin scale?