The most appropriate formula for solving this problem includesonly which variables? Enter the required variables, separated by
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The most appropriate formula for solving this problem includesonly which variables?
Enter the required variables, separated by commas(e.g., P,V,T).
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Learning Goal: To understand how to determine the appropriate formula for a given gas law problem. When you are unsure of which formula to use to solve a gas law problem, it is often helpful to make a chart of initial and final values of pressure P, volume V, number of moles, 12. and temperature T, as shown in the table. P v 24 T Constants Periodic Table Initial Final This type of chart will help you to determine which quantities are changing and which quantities remain the same. For example, use the formula P₁V₁ = P₂V/₂ for the product of pressure and volume at two different points in time when pressure and volume are changing but the number of moles of gas and the temperature are constant. Here is how this formula is derived from the ideal gas law, PV = nRT. 1. If and Tare constant, the entire quantity RT is constant. 2. Therefore, PV is constant 3. It follows that the quantity PV at any point in time will be the same value as at any other point in time. 4. Therefore, PV₁ - BV Now imagine an experiment where your chart looks like this V 37-7 P aff This last equation is the best formula to use when only volume and temperature are changing. Now to solve for the missing value, simply substitute numbers into this formula: which gives It is clear that V and Tare the quantities that are changing, while P and are constant. To put all constants P., and R together, we need to do a little bit of algebra: 1. PV = nRT 2 V- Initial P 2 atm V 1.7L Part A 4+ is constant. 5. Therefore the quantity V/T at any point in time will be the same value as at any other point in time, so X=1/12 Final 2 atm 2.5 L 0.45 mol 0.45 mol T 273 K The most appropriate formula for solving this problem includes only which variables? Enter the required variables, separated by commas (e.g., P,V, T). ? Derive a gas law formula for a specific scenario One mole of an ideal gas is sealed in a 22.4 L container at a pressure of 1 atm and a temperature of 273 K. The temperature is then increased to 306 K, but the container does not expand. What will the new pressure be? 22=221 T₂-401.5 K Learning Goal: To understand how to determine the appropriate formula for a given gas law problem. When you are unsure of which formula to use to solve a gas law problem, it is often helpful to make a chart of initial and final values of pressure P, volume V, number of moles, 12. and temperature T, as shown in the table. P v 24 T Constants Periodic Table Initial Final This type of chart will help you to determine which quantities are changing and which quantities remain the same. For example, use the formula P₁V₁ = P₂V/₂ for the product of pressure and volume at two different points in time when pressure and volume are changing but the number of moles of gas and the temperature are constant. Here is how this formula is derived from the ideal gas law, PV = nRT. 1. If and Tare constant, the entire quantity RT is constant. 2. Therefore, PV is constant 3. It follows that the quantity PV at any point in time will be the same value as at any other point in time. 4. Therefore, PV₁ - BV Now imagine an experiment where your chart looks like this V 37-7 P aff This last equation is the best formula to use when only volume and temperature are changing. Now to solve for the missing value, simply substitute numbers into this formula: which gives It is clear that V and Tare the quantities that are changing, while P and are constant. To put all constants P., and R together, we need to do a little bit of algebra: 1. PV = nRT 2 V- Initial P 2 atm V 1.7L Part A 4+ is constant. 5. Therefore the quantity V/T at any point in time will be the same value as at any other point in time, so X=1/12 Final 2 atm 2.5 L 0.45 mol 0.45 mol T 273 K The most appropriate formula for solving this problem includes only which variables? Enter the required variables, separated by commas (e.g., P,V, T). ? Derive a gas law formula for a specific scenario One mole of an ideal gas is sealed in a 22.4 L container at a pressure of 1 atm and a temperature of 273 K. The temperature is then increased to 306 K, but the container does not expand. What will the new pressure be? 22=221 T₂-401.5 K
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Answer P V n T Initial 1 atm 224 L 1 mole 273 K Final 224 ... View the full answer
Related Book For
Introduction to Java Programming, Comprehensive Version
ISBN: 978-0133761313
10th Edition
Authors: Y. Daniel Liang
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