Question

При зажигании какой массы газа метана выделится количеством теплоты,необходимое для нагревания 1 кг воды от 0 до 100 °С? Удельная теплота сгорания метана 50 000 кДж/кг. Удельная теплоёмкость воды 4,18 кДж(кг•°С)

Answer 1

Q1=m1c(t1-t2)
Q2=m2q
Q1=Q2
m2=Q1/q=1x4,2x100/50000=4200/50000=0,084 кг=84 г

Answer 2

Calculation of the Amount of Methane Gas Released and Heat Required

To calculate the amount of methane gas released and the heat required to heat 1 kg of water from 0 to 100 °C, we can use the specific heat capacity of water and the heat of combustion of methane.

Given: - Specific heat capacity of water (c) = 4.18 kJ/(kg·°C) - Heat of combustion of methane (Q) = 50,000 kJ/kg

To find the amount of methane gas released, we need to calculate the energy required to heat the water and then divide it by the heat of combustion of methane.

The energy required to heat 1 kg of water from 0 to 100 °C can be calculated using the formula:

Energy = mass × specific heat capacity × temperature difference

Substituting the given values: - mass = 1 kg - specific heat capacity = 4.18 kJ/(kg·°C) - temperature difference = 100 °C - 0 °C = 100 °C

Energy = 1 kg × 4.18 kJ/(kg·°C) × 100 °C = 418 kJ

Now, to find the amount of methane gas released, we divide the energy required by the heat of combustion of methane:

Amount of methane gas released = Energy / Heat of combustion of methane

Substituting the given values: - Energy = 418 kJ - Heat of combustion of methane = 50,000 kJ/kg

Amount of methane gas released = 418 kJ / 50,000 kJ/kg

Calculating the result: Amount of methane gas released = 0.00836 kg

Therefore, when 1 kg of water is heated from 0 to 100 °C, approximately 0.00836 kg of methane gas will be released.

Conclusion

When 1 kg of water is heated from 0 to 100 °C, approximately 0.00836 kg of methane gas will be released.