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Convert the following pressure readings from inches of mercury units to psi and Pascal units:

a. 28.5 in⋅Hg
- [96.5 kPa; 14 psi]

b. 30.5 in⋅Hg
- [103.3 kPa; 14.98 psi]

Answer :

The student's question focuses on the conversion of pressure from inches of mercury to PSI and Pascals. To convert these measures, one uses specific conversion factors. For example, 1 inHg is equal to 0.4911541 PSI and 3386.389 Pascals.

The student's question involves the conversion of pressure units from inches of mercury to PSI (pounds per square inch) and Pascals. This is a typical physics problem that involves understanding the conversion factors between different units of pressure.

To convert from inches of mercury to PSI, one can use the conversion factor 1 inHg = 0.4911541 PSI. Therefore, for a pressure of 28.5 inHg:
28.5 inHg imes 0.4911541 PSI/inHg = 14.00 PSI (rounded to two decimal places)

And for a pressure of 30.5 inHg:
30.5 inHg imes 0.4911541 PSI/inHg = 14.98 PSI (rounded to two decimal places)

For conversion to Pascals, we use the factor 1 inHg = 3386.389 Pascals. Thus, for 28.5 inHg:
28.5 inHg imes 3386.389 Pa/inHg = 96,502.14 Pa or approximately 96.5 kPa (rounded to one decimal place)

And for 30.5 inHg:
30.5 inHg imes 3386.389 Pa/inHg = 103,295.86 Pa or approximately 103.3 kPa (rounded to one decimal place)

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