Calculating Pressure in the Stomach after Taking Tums

In summary, to calculate the pressure in the average adult stomach after taking 2 Tums, one can use the ideal gas law equation PV=nRT and the equation P1V1=P2V2. The balanced chemical equation for the reaction of Tums and stomach acid may be considered, if needed. One tums tablet is 250 mg, so two tablets would be 500 mg or .5 grams. Then, using the known temperature of 310.15 K, the amount of CO2 produced can be calculated to be .0049 moles.
  • #1
ngu9997
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Homework Statement


Tums react in your stomach to produce a gas. The average adult stomach expand to one liter when full. Calculate the pressure in the average adult stomach after taking 2 Tums.

Homework Equations


Since its asking for pressure, and the volume is given perhaps PV=nRT should be used.
Also P1V1=P2V2 might seem like a possible equation.


The Attempt at a Solution


I'm honestly not sure how to start this problem. I started with a balanced chemical equation for the reaction of the Tums (CaCO3) and the stomach acid/hydrochloric acid (HCl), which would be:
CaCO3 + 2HCl --> CaCl2 + H2O + CO2. I'm not sure where to go from here or if this is a necessary step in solving the problem. Any suggestions in where to start would be helpful.
 
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  • #2
What is the weight of a "tum"?
How much CO2 do you get from the reaction? (In any unit you like)
 
  • #3
One tums tablet is 250 mg. So two tums tablets would be 500 mg or .5 grams. If so, then would .0049 moles of CO2 sound correct?
 
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  • #4
Yes.

What is a body temperature?
 
  • #5
37 degrees Celsius. Converted to kelvins it would be 310.15 K. Would I use this as the temperature in the equation PV=nRT?
 
  • #6
Sure. I think everything apart from pressure is known now.
 

FAQ: Calculating Pressure in the Stomach after Taking Tums

What is the ideal gas law and how is it used to calculate pressure?

The ideal gas law is a mathematical equation that describes the relationship between pressure, volume, temperature, and number of moles of a gas. It is written as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature in Kelvin. This equation can be rearranged to calculate pressure (P = nRT/V) by plugging in values for the other variables.

What is the difference between absolute pressure and gauge pressure?

Absolute pressure is the total pressure exerted by a gas, including atmospheric pressure. Gauge pressure is the pressure above atmospheric pressure. For example, if the absolute pressure is 10 atm and the atmospheric pressure is 1 atm, the gauge pressure would be 9 atm.

How does temperature affect gas pressure?

According to the ideal gas law, as temperature increases, pressure increases as well. This is because an increase in temperature causes gas molecules to move faster and collide with the walls of their container more frequently, resulting in a higher pressure.

What units are used to measure gas pressure?

The SI unit for pressure is pascal (Pa), but other common units include atmospheres (atm), millimeters of mercury (mmHg), and pounds per square inch (psi).

What factors can affect gas pressure in a closed container?

The pressure of a gas in a closed container can be affected by changes in temperature, volume, and number of moles of gas. Additionally, the presence of other gases or liquids in the container can also impact the pressure.

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