How do you convert #"255 mm Hg"# to #"atm"#? What about #"620 torr"# to #"PSI"#?

Answer 1

THE RATIOS OF CONVERSION

When converting #"mm Hg"# (or #"torr"#) to #"atm"#, there is a conversion factor:
#\mathbf("760 mm Hg" x "1 atm" x "760 torr")#
Additionally, there is a conversion factor for #"PSI"#. Since I was unaware of it, I did some research and found it at https://tutor.hix.ai
It's #\mathbf("51.7149 torr = 1 PSI")#, it turns out.

(Google is a fantastic tool; get comfortable using it!)

WORKING ON THE TRANSFORMATIONS

First of all

Let us begin with the equality that we just outlined.

#"760 mm Hg"# #=#"1 atm"#
Divide that number by #"1 atm"# to obtain the actual conversion ratio.
#= 1# #= "760 mm Hg"/"1 atm" = "1 atm"/"760 mm Hg"# #(1 cancel"atm")/(1 cancel"atm")#

This suggests that multiplying by this ratio maintains your numerical information while making no changes to the validity of your answer other than the units.

As a result, we obtain:

xx "1 atm"/(760 cancel"mm Hg")# #color(blue)(P_"atm") = 255 cancel"mm Hg"
#=# #blue, color("0.336 atm")#

You now have various units of the same pressure.

(2)

As previously noted, the ratio we have is #1#:

Here is how this ratio is applied:

xx "1 PSI"/(51.7149 cancel"torr")# #color(blue)(P_"torr") = 620 cancel"torr"
#=# #blue color("12.0 PSI")#
The same pressure as #"620 torr"# once more, but with different measurements.
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Answer 2

To convert 255 mm Hg to atm, divide by 760: ( 255 , \text{mm Hg} \div 760 = 0.335 , \text{atm} ).

To convert 620 torr to PSI, divide by 51.715: ( 620 , \text{torr} \div 51.715 = 11.98 , \text{PSI} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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