After a week, biochemical reactions in compost slow, and the temp...

Question

After a week, biochemical reactions in compost slow, and the temperature drops to 45 °C. The dark brown organic-rich mixture is ready for use in the garden. What is this temperature in degrees Fahrenheit? In kelvins? (3.3)

Accepted Answer

Welcome back, everyone. The temperature of a chemical mixture rises to 60.5°C during an industrial process, determine the equivalent temperature in degrees Fahrenheit and in Kelvins. So let's first recall our formula to calculate our temperature in Fahrenheit, in which we would take the value 1.8 multiplied by our Celsius temperature and add it to 32. Let's also recall our formula to calculate our Kelvin temperature, which we should recall is expressed by a capital K as a unit and is set equal to our Celsius temperature added to 273.15. So beginning with calculating our Fahrenheit equivalent temperature, we would set our Fahrenheit temperature equal to our value 1.8 and plug in our Celsius temperature given us 60.5°C and then we would add 32. So simplifying in our next line, we're going to have from the product of 1.8 and 60.5. Our result as 108.9, which is then added to 32 taking the sum between these two numbers, we'll find our Fahrenheit temperature equal to 140. degrees Fahrenheit, in which based on our number of sig figs because our operation is addition, our last operation being one oh 8.9 plus 32 is addition. We want our final answer to be rounded to the least number of decimal places. And in 32 we have zero decimal places. So our answer should be a whole number as well with zero decimal places being 141. So this is our first answer as our Fahrenheit equivalent temperature to 60. degrees Celsius. Next, we have our Kelvin temperature that we must calculate. So plugging in our Celsius temperature, given us 60.5 degrees Celsius, we're gonna add 2 73.15 and taking the sum here, we're going to get our Kelvin temperature equal to 333.6. Now, we need to, based on our last operation being addition, we want to make our final answer be based on our least number of decimal places. In 60.5, we have just one decimal place and in 273.15, we have two decimal places. So we want our final answer. It's actually already expressed to one decimal place as is, however, we can also just round to three significant figures to express our temperature as a whole number so that we have the value 334 Kelvin. And so our second final answer as our temperature equivalent in Kelvin is 334 Kelvin. So I hope that everything I explained made sense. If you have any questions, let us know and I'll see everyone in the next video.

After a week, biochemical reactions in compost slow, and the temperature drops to 45 °C. The dark brown organic-rich mixture is ready for use in the garden. What is this temperature in degrees Fahrenheit? In kelvins? (3.3)

Key Concepts

Temperature Conversion

Biochemical Reactions

Composting Process

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