I have this question in chemistry. It's really just for getting you use to conversions.
Here's the question: You have a bedroom that is 11ft wide by 12ft long by 8.5ft high and has an air conditioner that exchanges 1200L air per minute. How long would it take the air conditioner to exchange the air in your room once?
Here's what I have done so far: Convert from English to Metric,
$$11ft*({12in\over1ft})*({2.54cm\over1})*({1m\over100cm}) = 3.3528m$$
$$12ft*({12in\over1ft})*({2.54cm\over1})*({1m\over100cm}) = 3.6576m$$
$$8.5ft*({12in\over1ft})*({2.54cm\over1})*({1m\over100cm}) = 2.5908m$$
Note: I'm supposed to take the number of significant figures into account.
It may have been easier to convert the $1200L$ instead.
So the volume of the room: $$3.3528m*3.6576m*2.5908m=31.77250188m^3$$ Convert that to L: $$31.77250188m^3*{1L\over 1000m^3}=0.0317725019L$$ So, the volume of the room is $0.0317725019L$ and the air is being exchanged at $1200L$ air per minute. How long will it take for the air to be exchanged once? This is where I've stuck, any help? Or hints? Thank you!
The air conditioner needs $$\frac{31.7725\cdot 1000L}{1200\frac{L}{\min}}=26.477\min$$
that is about $26$ minutes and $29$ seconds.