How long will it be before the heater warms the air in the room by 10degrees C?

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Imagine you've been walking outside on a cold winter's day. When you arrive home at your studio apartment, you realize that you left a window open and your 5.0 m x 5.0 m x 3.0 m room is only slightly warmer than the outside. You turn on your 1.0-kW space heater right away and wait impatiently for the room to warm up. In this problem, make the following assumptions: • The entire 1.0 kW = 1.0 × 10³ J/s output of the space heater goes into warming the air in the room. • The air in the room is an ideal gas with five degrees of freedom per particle (three translational degrees of freedom and two rotational degrees of freedom -about right for nitrogen and oxygen). • The air in the room is at a constant pressure of 1.00 atm. • At room temperature (22 °C = 295 K) and atmospheric pressure, 1.00 mole of air fills a volume of 24.2 L. This is slightly larger than the volume of air at standard temperature and pressure, because room temperature is hotter than 0 °C. Imagine you've been walking outside on a cold winter's day. When you arrive home at your studio apartment, you realize that you left a window open and your 5.0 m x 5.0 m x 3.0 m room is only slightly warmer than the outside. You turn on your 1.0-kW space heater right away and wait impatiently for the room to warm up. In this problem, make the following assumptions: • The entire 1.0 kW = 1.0 × 10³ J/s output of the space heater goes into warming the air in the room. • The air in the room is an ideal gas with five degrees of freedom per particle (three translational degrees of freedom and two rotational degrees of freedom -about right for nitrogen and oxygen). • The air in the room is at a constant pressure of 1.00 atm. • At room temperature (22 °C = 295 K) and atmospheric pressure, 1.00 mole of air fills a volume of 24.2 L. This is slightly larger than the volume of air at standard temperature and pressure, because room temperature is hotter than 0 °C.

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