how much heat would be required to warm Earths ocean by 1.0 degrees C assuming that the volume is 137*10^7 km ^3 and the density of sea water is 1.03 g/cm 3. also assume that the heat capacity of seawater is the same as that of water
I would convert volume to cc, use density to convert volume in cc to grams. Then
q = mass in grams x specific heat x delta T where delta T is 1 = ??. Post your work if you get stuck.
To calculate the heat required to warm Earth's oceans by 1.0 degrees Celsius, we need to use the formula:
Q = mcΔT
Where:
Q = heat energy
m = mass of the seawater
c = specific heat capacity of seawater
ΔT = change in temperature
First, let's calculate the mass of the seawater using the given volume and density.
Volume of seawater = 137 * 10^7 km^3
Density of seawater = 1.03 g/cm^3
To convert km^3 to cm^3, we need to multiply the volume by 10^15 (1 km^3 = 1,000,000,000,000 cm^3)
Volume of seawater (in cm^3) = 137 * 10^7 * 10^15 cm^3
Next, we can calculate the mass of the seawater using the formula:
Mass = Volume * Density
Mass of seawater = Volume of seawater * Density
Now, we need to convert the mass from grams to kilograms to be consistent with the heat capacity (c) value.
Mass of seawater (in kg) = Mass of seawater (in g) / 1000
Finally, we can substitute the values into the formula to find the heat energy:
Q = mcΔT
Make sure to convert the specific heat capacity of water from J/g°C to J/kg°C since we are using the mass in kilograms.
Now, we can calculate the heat energy (Q) required to warm the Earth's ocean by 1.0 degrees Celsius.