Question

calculate the final centigrade temp requires.to change 20 litres of gas at 120°c and 1 atmosphere to 25 litres at 2 atmosphere. answer?

Answer 1

[AI-generated answer — Explain Bot]

To find the final Celsius temperature, we can use the ideal gas law equation, which states that the product of pressure, volume, and temperature is equal to the product of the gas constant and the number of moles of gas:

PV = nRT

Where:
P = pressure
V = volume
n = number of moles
R = gas constant
T = temperature in Kelvin

In this case, the initial conditions are:
Pressure (P1) = 1 atmosphere
Volume (V1) = 20 liters
Temperature (T1) = 120°C = 393.15K (Convert Celsius to Kelvin by adding 273.15)

The final conditions are:
Pressure (P2) = 2 atmospheres
Volume (V2) = 25 liters

Since the amount of gas (moles) is constant, we can rearrange the ideal gas law equation to relate the initial and final temperatures:

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

Let's substitute the values into the equation:

T2 = (2 * 25 * 393.15) / (1 * 20)

Simplifying further:

T2 = 15726.3 / 20
T2 = 786.315 K

So, the final temperature in Celsius is 786.315 - 273.15 = 513.16°C (rounded to two decimal places).

Therefore, the final Celsius temperature required to change 20 liters of gas at 120°C and 1 atmosphere to 25 liters at 2 atmospheres is approximately 513.16°C.