How much heat would be required to warm Earth¡¯s oceans by 1.0 ¡ãC? Assume that the volume of Earth¡¯s oceans is 137 x ¡¼10¡½^7 ¡¼km¡½^3 and that the density of sea water is 1.03 g/cm3. Also assume that the heat capacity of seawater is the same as that of water.

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how much heat would be required to warm Earth¡¯s oceans by 1.0 ¡ãC? Assume that the volume of Earth¡¯s oceans is 137 x ¡¼10¡½^7 ¡¼km¡½^3 and that the density of sea water is 1.03 g/cm3. Also assume that the heat capacity of seawater is the same as that of water.

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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

To calculate the amount of heat required to warm Earth's oceans by 1.0 °C, you can use the specific heat capacity formula:

Q = m * c * ΔT

Where:
Q is the amount of heat energy
m is the mass of the substance
c is the specific heat capacity
ΔT is the change in temperature

First, let's calculate the mass of the water. We know the volume of Earth's oceans and the density of seawater. Density is defined as mass divided by volume. Rearranging the equation, we have:

density = mass / volume => mass = density * volume

mass = (1.03 g/cm³) * (137 x 10^7 km³) * (10^15 cm³/km³)

Note: I converted the given values to consistent units, which is g/cm³ for density and cm³ for volume.

Next, we need to convert the mass from grams to kilograms for use in the specific heat capacity equation. Since 1 kg = 1000 g, we have:

mass = (1.03 g/cm³) * (137 x 10^7 km³) * (10^15 cm³/km³) / (1000 g/kg)

Now, we can substitute the values into the specific heat capacity formula:

ΔT = 1.0 °C

c = 4.18 J/g°C (specific heat capacity of water)

Q = (mass in kg) * c * ΔT

You can now calculate the mass and substitute it into the formula to find the amount of heat energy required to warm Earth's oceans by 1.0 °C.