Question

Determine the type of Law and answer: A sample of gas has a pressure of 56.9:kPa and 27.0°C. Calculate the pressure if the temperature is changed to 127°Cwhile the volume remains constant.

Answer 1

`75.9\text{ kPa}`

Step-by-step explanation:

Here, we want to determine the type of law to use and the pressure

The law we will use here is the Pressure law

This relates pressure and temperature at constant volume

Mathematically:

`(P_1)/(T_1)\text{ = }(P_2)/(T_2)`

Where:

P1 is the initial pressure which is given as 56.9 kPa

P2 is the final pressure that we want to calculate

T1 is the initial temperature in Celsius which we will convert to Kelvin by adding 273 (27 + 273 = 300K)

T2 is the final temperature (127 + 273 = 400 K)

Substituting the values, we have it that:

`\begin{gathered} (56.9)/(300)\text{ = }(P_2)/(400) \\ \\ P_2\text{ = }(400*56.9)/(300) \\ \\ P_2\text{ = 75.9 kPa} \end{gathered}`