Imagine that a hypothetical life form is discovered on our moon and transported to Earth. On a hot day, this life form begins to sweat, and it is determined that the heat of vaporization of its sweat is 155 cal/g. The scientist observing the extraterrestrial life form also begins to sweat. The heat of vaporization of the scientist\'s sweat is 580 cal/g at the skin\'s surface. If both the extraterrestrial life form and the scientist lose 602 g of sweat over the course of one hour, calculate the heat lost by each body from the vaporization of sweat.

Question

Imagine that a hypothetical life form is discovered on our moon and transported to Earth. On a hot day, this life form begins to sweat, and it is determined that the heat of vaporization of its sweat is 155 cal/g. The scientist observing the extraterrestrial life form also begins to sweat. The heat of vaporization of the scientist\'s sweat is 580 cal/g at the skin\'s surface. If both the extraterrestrial life form and the scientist lose 602 g of sweat over the course of one hour, calculate the heat lost by each body from the vaporization of sweat.

*answer in cal (human and extraterrestrial)

Answer 1

Well, it looks like we have a sweaty situation here! Let's crunch the numbers.

For the extraterrestrial life form:
Heat lost = Heat of vaporization × Mass of sweat
Heat lost = 155 cal/g × (602 g)
Heat lost by the extraterrestrial life form = 93,410 cal

For the scientist:
Heat lost = Heat of vaporization × Mass of sweat
Heat lost = 580 cal/g × (602 g)
Heat lost by the scientist = 349,160 cal

So, the extraterrestrial life form lost 93,410 cal of heat from the vaporization of its sweat, while the poor scientist lost a whopping 349,160 cal.

Looks like the scientist got the short end of the sweaty stick, but at least they got some real-life alien experience!

Answer 2

To calculate the heat lost by each body from the vaporization of sweat, we'll need to multiply the heat of vaporization of sweat by the mass of sweat lost for each body.

Let's start with the extraterrestrial life form:

Heat lost by the extraterrestrial life form = Heat of vaporization of its sweat * Mass of sweat lost

Heat lost by the extraterrestrial life form = 155 cal/g * 602 g

Heat lost by the extraterrestrial life form = 94,010 cal

Now, let's calculate the heat lost by the scientist:

Heat lost by the scientist = Heat of vaporization of their sweat * Mass of sweat lost

Heat lost by the scientist = 580 cal/g * 602 g

Heat lost by the scientist = 349,960 cal

Therefore, the extraterrestrial life form lost 94,010 calories of heat, while the scientist lost 349,960 calories of heat from the vaporization of sweat.

Answer 3

To calculate the heat lost by each body from the vaporization of sweat, we can use the formula:

Heat Lost = Mass of Sweat × Heat of Vaporization

For the extraterrestrial life form:
Mass of Sweat = 602 g
Heat of Vaporization = 155 cal/g

Heat Lost by Extraterrestrial Life Form = 602 g × 155 cal/g

For the scientist:
Mass of Sweat = 602 g
Heat of Vaporization = 580 cal/g (at the skin's surface)

Heat Lost by Scientist = 602 g × 580 cal/g

Calculating these values:

Heat Lost by Extraterrestrial Life Form = 602 g × 155 cal/g = 93,410 cal
Heat Lost by Scientist = 602 g × 580 cal/g = 349,160 cal

Therefore, the extraterrestrial life form lost 93,410 calories of heat from the vaporization of sweat, while the scientist lost 349,160 calories of heat from the vaporization of sweat.

Answer 4

take the heat of vaporization 580 cal/g times 602g = cal in human

and do the same for life form