Answer:
The new pressure will be 74.8 kPa
Step-by-step explanation:
Step 1: Data given
Volume of the N2 gas = 500 mL = 0.500 L
Temperature = 10.0 °C = 283 K
Pressure = 108 kPa
The volume is increased to 750 mL = 0.750 L
The temperature is increased to 21.0 °C = 294 K
Step 2: Calculate the new pressure
P1*V1 / T1 = P2*V2 / T2
⇒with P1 = the initial pressure = 108 kPa
⇒with V1 = the initial volume = 0.500 L
⇒with T1 = the initial temperature = 283 K
⇒with P2 = the new pressure = TO BE DETERMINED
⇒with V2 = the increased volume = 0.750 L
⇒ with T2 = the increased temperature = 294 K
108 * 0.500 / 283 = P2 * 0.750 / 294
P2 = (108*0.500 * 294) / (283*0.750)
P2 = 74.8 kPa
The new pressure will be 74.8 kPa