A #5 L# container holds #16 # mol and #6 # mol of gasses A and B, respectively. Every three of molecules of gas B bind to four molecule of gas A and the reaction changes the temperature from #320^oK# to #450 ^oK#. By how much does the pressure change?
Considering they are ideal gases, they follow
we are given,
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To solve this problem, we first need to calculate the initial and final number of molecules of each gas using the ideal gas law. Then, we can use the given stoichiometry of the reaction to determine the final number of molecules of each gas after the reaction. Finally, we can use the ideal gas law again to calculate the final pressure and compare it to the initial pressure to find the change in pressure.
 Calculate the initial and final number of molecules of each gas: Initial number of moles of gas A (n_A) = 16 mol Initial number of moles of gas B (n_B) = 6 mol Total initial number of moles (n_total) = n_A + n_B = 16 mol + 6 mol = 22 mol
Initial number of molecules of gas A (N_A) = n_A * Avogadro's number Initial number of molecules of gas B (N_B) = n_B * Avogadro's number

Calculate the final number of molecules of each gas after the reaction: Every 3 molecules of B bind to 4 molecules of A. Let x be the number of molecules of B that react. Number of molecules of A remaining = N_A  (4/3)*x Number of molecules of B remaining = N_B  x

Use the ideal gas law to calculate the initial and final pressure: Initial pressure (P_initial) = (n_total * R * T_initial) / V Final pressure (P_final) = (n_total * R * T_final) / V

Calculate the change in pressure: Change in pressure (ΔP) = P_final  P_initial
After these calculations, we can determine the change in pressure.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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