At what temperature the gas density will be 1.5 times its density at 100 degrees Celsius.

At what temperature the gas density will be 1.5 times its density at 100 degrees Celsius. The pressure is considered constant.

Given: ρ2 (final gas density) = 1.5ρ1 (initial gas density); Т1 (initial gas temperature) = 100 ºС (absolute temperature Т1 = 373 К).

To determine the desired gas temperature, we use the ideal gas equation of state: P * V = m / M * R * T; P = m / (V * M) * R * T = ρ / M * R * T, whence ρ1 / M * R * T1 = ρ2 / M * R * T2; T2 = ρ1 * T1 / ρ2 = T1 / 1.5.

Calculation: T2 = 373 / 1.5 = 248.7 K (-24.3 ºС).

Answer: The density of the gas will reach the required value at a temperature of -24.3 ºС. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.