Question

Газ аргон, количество вещества которого равно 10 моль, при неизменном объеме нагрели от температуры 100 градусов до 400 градусов по цельсию. Во сколько раз изменилась при этом внутренняя энергия.

Answer 1

U1=1.5νRT1=1.5*10*8.31*373=46500 Дж
U2=1.5νrT2=1.5*8.31*10*673=83900 Дж
приближенно в 1.8 раза

Answer 2

Gas Argon and Change in Internal Energy

To calculate the change in internal energy of argon when the quantity of substance is 10 moles and it is heated from 100 degrees Celsius to 400 degrees Celsius at constant volume, we can use the formula:

ΔU = nCvΔT

Where: - ΔU is the change in internal energy - n is the quantity of substance (in moles) - Cv is the molar specific heat at constant volume - ΔT is the change in temperature

First, let's find the molar specific heat at constant volume (Cv) for argon.

The molar specific heat at constant volume (Cv) for a monatomic ideal gas like argon can be calculated using the formula:

Cv = (3/2)R

Where R is the gas constant, which is approximately 8.314 J/(mol·K).

Using this information, we can calculate the change in internal energy.

Calculation

Given: - n = 10 moles - Initial temperature (T1) = 100°C = 373.15 K - Final temperature (T2) = 400°C = 673.15 K

Using the formula ΔU = nCvΔT, we can calculate the change in internal energy.

ΔU = 10 moles * (3/2) * 8.314 J/(mol·K) * (400 K - 100 K)

ΔU = 10 * (3/2) * 8.314 * 300 J

ΔU = 10 * 4.971 * 300 J

ΔU = 14,913 J

So, the change in internal energy of 10 moles of argon when heated from 100°C to 400°C at constant volume is 14,913 joules.