A gas thermometer is used as a standard thermometer for measurement of temperature. When the gas container of the thermometer is immersed in water at its triple point `273.16K`, the pressure in the gas thermometer reads `3.0xx10^4N//m^2`. When the gas container of the same thermometer is immersed in another system, the gas pressure reads `3.5xx10^4N//m^2`. The temperature of this system is therefore __________`.^@C`.

Answer

`45.68`

Explanation

The gas thermometer works at constant volume. Therefore,
`T prop P`
or `T_2 //T_1 = P_1 //P_1 " or " T_2 = T_1 (p2//p1)" or "T_2 = (273.16)((3.5xx10^4)/(3xx10^4))K = 318. 68 K`
or temperature at given pressure will be , `(318.68 - 273)^0 C "or" 45.68^@ C`