How much oil does a thermal power plant need to burn in order to watch a 1.5 hour movie on a 250 W TV?
How much oil does a thermal power plant need to burn in order to watch a 1.5 hour movie on a 250 W TV? The power plant efficiency is 35%. Specific heat of combustion of oil 46 * 10 ^ 6 J / kg
To find out the required mass of oil to provide the specified TV with electricity, we use the formula: ηel = P * t / (qн * mx), from where we express: mx = P * t / (qн * ηel).
Const (according to the condition): qн – beats. heat of combustion of oil (qн = 46 * 10 ^ 6 J / kg).
Data: P – the power of the specified TV (P = 250 W); t is the duration of the film (t = 1.5 hours; in the SI system t = 5.4 * 10 ^ 3 s); ηel – power plant efficiency (ηel = 35% = 0.35).
Let’s perform the calculation: mx = P * t / (qн * ηel) = 250 * 5.4 * 10 ^ 3 / (46 * 10 ^ 6 * 0.35) ≈ 83.85 * 10 ^ -3 kg.
Answer: The power plant will need to burn 83.85 g of oil.