Answer :
To calculate the final temperature in the room after the electric heater has been turned on for 20 minutes, we need to consider the heat transferred to the air in the room. Given: Mass of air (m) = 334 kg
Initial pressure (P1) = 101 kPa Initial temperature (T1) = 17°C
Power of electric heater (P_heater) = 1.0 kW (or 1000 W) Time (t) = 20 minutes (or 20 * 60 seconds = 1200 seconds First, let's convert the temperature to Kelvin: Initial temperature (T1) = 17°C + 273.15 = 290.15 K Next, let's calculate the heat transferred to the air using the formula:
Now, let's calculate the change in temperature using the formula:
Q = m * c * ΔT where c is the specific heat of air at constant pressure.
Rearranging the formula, we get: ΔT = Q / (m * c
The specific heat of air at constant pressure (c) is approximately 1005 J/(kg·K). Substituting the values into the formula, we get.
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