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###### Conversion from Celsius Example

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Basic Math Concepts for Chemistry

*1.*Solve for density (d) in terms of molarity (ℳ), pressure (P), and temperature (T). (R) is a constant.*2.*Express y in terms of x: \(\frac{10}{4x}=\frac{3y}{8}\)*3.*Express a in terms of b: \(\frac{20a}{10b}=4+2b\)*4.*Find the solution set of \(x^3-3x^2=0\) from the replacement set {-3,0,3}.*5.*Find the integer solution set of \(2x^4+3x^3+2x-4=0\) from the replacement set {-2,-1,1,2}.*6.*Find the solution set of \(x^2-8=4\sqrt{x}\) from the replacement set {0,1,4,9}*7.*The United States National Weather Service reports pressure in both inches of Hg and millibars. Convert a pressure of 29.2 in. Hg into:

(a) torr

(b) atm

(c) kPa

(d) mbar*8.*A can of hair spray is used until it is empty except for the propellant, isobutane gas. The gas in the can is initially at 24 °C and 360 kPa, and the can has a volume of 350 mL. If the can is left in a car that reaches 50 °C on a hot day, what is the new pressure in the can?*9.*Methane, CH4, is being considered for use as an alternative automotive fuel to replace gasoline. One gallon of gasoline could be replaced by 655 g of CH4. What is the volume of this much methane at 25 °C and 745 torr?*10.*Methane, CH4, is being considered for use as an alternative automotive fuel to replace gasoline. One gallon of gasoline could be replaced by 655 g of CH4. What is the volume of this much methane at 25 °C and 745 torr?*11.*What is the density of common antifreeze in units of \(\frac{g}{mL}\)? A 4.00-qt sample of the antifreeze weighs 9.26 lb*12.*Normal body temperature has been commonly accepted as 37.0 °C (although it varies depending on time of day and method of measurement, as well as among individuals). What is this temperature on the kelvin scale and on the Fahrenheit scale?*13.*A rectangular plot in a garden has the dimensions 36.7 cm by 128.8 cm. What is the area of the garden plot in square meters? Express your answer in the proper number of significant figures.

Flowers, P., Theopold, K. H., Langley, R., & Robinson, W. R. (). Chemistry 2e. . (Dec 23, 2020)

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