Question

Calculate the final temperature (in Celsius) of HCI gas if 0.500 L at 42°C and 0.950 atm is heated

until the volume reaches 1.81 L at 0.950 atm. (deg C)

Answer 1

First, we need to convert the temperatures to Kelvin by adding 273.15:

T1 = 42 + 273.15 = 315.15 K
T2 = ? (to be determined)

Next, we can plug in the values given in the problem:

(P1 * V1) / T1 = (P2 * V2) / T2

(0.950 atm * 0.500 L) / 315.15 K = (0.950 atm * 1.81 L) / T2

Simplifying:

0.475 atmL / K = 1.7175 atmL / T2

Multiplying both sides by T2:

T2 * 0.475 atmL / K = 1.7175 atmL

Dividing both sides by 0.475 atm*L / K:

T2 = 1.7175 atmL / (0.475 atmL / K)

T2 = 362.63 K

Finally, we can convert the temperature back to Celsius by subtracting 273.15:

T2 = 362.63 K - 273.15 = 89.48°C

Therefore, the final temperature of HCl gas is 89.48°C.