% Ideal Gas Law Plot and Temperature Calculation
% Given Data
V = [1, 2, 3, 4, 5]; % Volume in Liters
P = [2494.2, 1247.1, 831.4, 623.6, 498.8]; % Pressure in kPa
% Calculate 1/V
invV = 1 ./ V;
% Perform linear regression: P = slope * (1/V) + intercept
coeffs = polyfit(invV, P, 1);
slope = coeffs(1);
intercept = coeffs(2);
% Given constants
n = 1; % mol
R = 8.314; % kPa·L/mol·K
% Calculate temperature
T = slope / (n * R);
% Display result
fprintf('--- Sample Output ---\n'); fprintf('Linear fit equation: P = %.4f*(1/V) + %.4f\n', slope
, intercept
); fprintf('Calculated Temperature: %.1f K\n', T
);
% Predicted pressure values for the line
P_fit = polyval(coeffs, invV);
% Plotting
figure;
plot(invV, P, 'bo', 'MarkerFaceColor', 'b'); hold on;
plot(invV, P_fit, 'r-', 'LineWidth', 2);
xlabel('1/V (1/L)');
ylabel('Pressure (kPa)');
title('Pressure vs. 1/Volume');
legend('Experimental Data', 'Best Fit Line', 'Location', 'northwest');
grid on;
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