# Problem: A 1500-W heater is designed to be plugged into a 120-V outlet.(a) What current will flow through the heating coil when the heater is plugged in?(b) What is R, the resistance of the heater?(c) How long does it take to raise the temperature of the air in a good-sized living room (3.00m × 5.00m × 8.00m) by 10.0 °C? Note that the specific heat of air is 1006 J/(kg • °C) and the density of air is 1.20 kg/m3.

###### FREE Expert Solution

(a)

$\overline{){\mathbf{I}}{\mathbf{=}}\frac{\mathbf{P}}{\mathbf{V}}}$

P = 1500 W and I = 120 V.

Substituting:

###### Problem Details

A 1500-W heater is designed to be plugged into a 120-V outlet.

(a) What current will flow through the heating coil when the heater is plugged in?

(b) What is R, the resistance of the heater?

(c) How long does it take to raise the temperature of the air in a good-sized living room (3.00m × 5.00m × 8.00m) by 10.0 °C? Note that the specific heat of air is 1006 J/(kg • °C) and the density of air is 1.20 kg/m3.