Question

Q1) Equivalence of 1-Watt Hour in SI Unit BY DIMENSIONAL ANALYSIS​

Answer 1

Answer:

1 Joule (J) is the MKS unit of energy, equal to the force of one Newton acting through one meter.

1 Watt is the power of a Joule of energy per second

Power = Current x Voltage (P = I V)

1 Watt is the power from a current of 1 Ampere flowing through 1 Volt.

1 kilowatt is a thousand Watts.

1 kilowatt-hour is the energy of one kilowatt power flowing for one hour. (E = P t).

1 kilowatt-hour (kWh) = 3.6 x 106 J = 3.6 million Joules

1 calorie of heat is the amount needed to raise 1 gram of water 1 degree Centigrade.

1 calorie (cal) = 4.184 J

(The Calories in food ratings are actually kilocalories.)

A BTU (British Thermal Unit) is the amount of heat necessary to raise one pound of water by 1 degree Farenheit (F).

1 British Thermal Unit (BTU) = 1055 J (The Mechanical Equivalent of Heat Relation)

1 BTU = 252 cal = 1.055 kJ

1 Quad = 1015 BTU (World energy usage is about 300 Quads/year, US is about 100 Quads/year in 1996.)

1 therm = 100,000 BTU

1,000 kWh = 3.41 million BTU

Power Conversion

1 horsepower (hp) = 745.7 watts

Gas Volume to Energy Conversion

One thousand cubic feet of gas (Mcf) -> 1.027 million BTU = 1.083 billion J = 301 kWh

One therm = 100,000 BTU = 105.5 MJ = 29.3 kWh

1 Mcf -> 10.27 therms

Explanation:

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