Азот был нагрет при неизменном давлении. Масса азота равна 280 г, количество затраченного тепла равно 600 Дж и Сv = 750 Дж/(кг.К). Найти повышение температуры азота

Nitrogen was heated at constant pressure. Mass of nitrogen is 280 grams, the amount spent by the heat is 600 J, and CV = 750 J / (kg.K). Find the temperature increase of nitrogen

Азот был нагрет при неизменном давлении. Масса азота равна 280 г, количество затраченного тепла равно 600 Дж и Сv = 750 Дж/(кг.К). Найти повышение температуры азота

To find the temperature increase of nitrogen, we can use the formula:

ΔT = Q / (m * Cv)

where:
ΔT = temperature increase
Q = amount of heat energy supplied
m = mass of the substance
Cv = specific heat capacity at constant volume

In this case, we have:
Q = 600 J (amount of heat energy supplied)
m = 280 g (mass of nitrogen) = 0.28 kg (since 1 kg = 1000 g)
Cv = 750 J/(kg.K) (specific heat capacity at constant volume)

Now we can substitute the values into the formula to calculate the temperature increase:

ΔT = 600 J / (0.28 kg * 750 J/(kg.K))

First, we simplify the units:
ΔT = 600 J / (0.21 J/K)

Now we can calculate the temperature increase:
ΔT = 2857.14 K

Therefore, the temperature of nitrogen increased by approximately 2857.14 K.