Raising Air Temp in Living Room: Calculations Needed

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Homework Help Overview

The discussion revolves around calculating the time required to raise the air temperature in a living room using a heater. The problem involves concepts from thermodynamics, specifically relating to heat transfer and energy calculations.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to identify the appropriate formula for calculating the heat gained by the air, with some suggesting the use of mass, specific heat, and temperature change. Questions about the energy required to raise the room temperature are also raised.

Discussion Status

The discussion is ongoing, with participants exploring different aspects of the problem. Some have provided partial calculations and definitions, while others are seeking clarification on the necessary formulas and concepts. There is no explicit consensus yet on the approach to take.

Contextual Notes

Participants are working with specific values for the dimensions of the room, the power of the heater, and the properties of air, but there may be uncertainties regarding the complete setup and assumptions needed for the calculations.

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

How long does it take to raise the temperature of the air in a good-sized living room (3m x 5m x 8m) by 10.0 degrees C. Note that the specific heat of air is 1006 J/kg and the density of air is 1.20 kg/m^3.

I=12.5 A
R=9.6 ohms

I found I and R but don't know the equation to solve this last part
 
Last edited:
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What is the formula for calculating the heat gained by the air?
 
(mass) x (specific heat) x (chang in temp)?
 
How much energy does it take to raise the room temperature? You need to answer that question.
 

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